Question

A translation along the vector (-2 , 7 ) maps point P to point Q. The coordinates of point Q are (4, -1 ) What are the coordinates of point P? Explain.

Answer 1

A translation is simply a "moving" when it comes to a point. In this case, by adding (-2, 7) to the point P, we will find point Q. That is, x-2 gives Q's x-coordinate of 4 and y+7 gives Q's y-coordinate of -1. To start, x-2 = 4 gives an x of -6, and y+7 = -1 gives a y of -8. So, the original point P was located at (-6,-8).

Answer 2

A translation is simply a "moving" when it comes to a point. In this case, by adding (-2, 7) to the point P, we will find point Q. That is, x-2 gives Q's x-coordinate of 4 and y+7 gives Q's y-coordinate of -1. To start, x-2 = 4 gives an x of -6, and y+7 = -1 gives a y of -8. So, the original point P was located at (-6,-8).